Pith Number

pith:X4HJI4PY

pith:2012:X4HJI4PYM6BVGN7GQ53W2K4SUS

not attested not anchored not stored refs pending

Random walks veering left

B\'alint Vir\'ag, Raoul Normand

arxiv:1212.6090 v1 · 2012-12-25 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4HJI4PYM6BVGN7GQ53W2K4SUS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:32:11.096036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf0e9471f867835337e687776d2b92a4bf4710a9305a7df3008e9afcd3524fc1

Aliases

arxiv: 1212.6090 · arxiv_version: 1212.6090v1 · doi: 10.48550/arxiv.1212.6090 · pith_short_12: X4HJI4PYM6BV · pith_short_16: X4HJI4PYM6BVGN7G · pith_short_8: X4HJI4PY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X4HJI4PYM6BVGN7GQ53W2K4SUS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bf0e9471f867835337e687776d2b92a4bf4710a9305a7df3008e9afcd3524fc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6f6567625453e0ac44b6c04a9b2ec7c3d265dc9e32016012d345a1a44631f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-25T22:16:50Z",
    "title_canon_sha256": "ba5c757b399f447ab3e60e61e6ff93fdbcac6f61270767684b60c95ec816708a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6090",
    "kind": "arxiv",
    "version": 1
  }
}